What is the Greatest Common Factor of 26160 and 26169?

Greatest common factor (GCF) of 26160 and 26169 is 3.

GCF(26160,26169) = 3

We will now calculate the prime factors of 26160 and 26169, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26160 and 26169.

How to find the GCF of 26160 and 26169?

We will first find the prime factorization of 26160 and 26169. After we will calculate the factors of 26160 and 26169 and find the biggest common factor number .

Step-1: Prime Factorization of 26160

Prime factors of 26160 are 2, 3, 5, 109. Prime factorization of 26160 in exponential form is:

26160 = 2⁴ × 3¹ × 5¹ × 109¹

Step-2: Prime Factorization of 26169

Prime factors of 26169 are 3, 11, 13, 61. Prime factorization of 26169 in exponential form is:

26169 = 3¹ × 11¹ × 13¹ × 61¹

Step-3: Factors of 26160

List of positive integer factors of 26160 that divides 26160 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 109, 120, 218, 240, 327, 436, 545, 654, 872, 1090, 1308, 1635, 1744, 2180, 2616, 3270, 4360, 5232, 6540, 8720, 13080

Step-4: Factors of 26169

List of positive integer factors of 26169 that divides 26160 without a remainder.

1, 3, 11, 13, 33, 39, 61, 143, 183, 429, 671, 793, 2013, 2379, 8723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26160 and 26169. The biggest common factor number is the GCF number.
So the greatest common factor 26160 and 26169 is 3.

Also check out the Least Common Multiple of 26160 and 26169